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Finding the Third Proportional to 10,620,569.02 and 16,400,017.27

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Solution

The third proportional to 10,620,569.02 and 16,400,017.27 is: 25,324,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620,569.02 : 16,400,017.27 = 16,400,017.27 : x
  2. Step 2: Convert to fraction form
    10,620,569.02/16,400,017.27 = 16,400,017.27/x
  3. Step 3: Cross multiply
    10,620,569.02x = 16,400,017.27 × 16,400,017.27
  4. Step 4: Simplify right side
    10,620,569.02x = 268,960,566,312,798.09
  5. Step 5: Solve for x
    x = 268,960,566,312,798.09/10,620,569.02
  6. Step 6: Final answer
    x = 25,324,496.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.